Parallel 3D-TLM algorithm for simulation of the Earth-ionosphere cavity

Toledo‐Redondo, Sergio; Salinas, Alfonso; Morente-Molinera, Juan Antonio; Méndez, Alfredo; Fornieles, Jesús; Portí, J.A.; Morente, Juan A.

doi:10.1016/j.jcp.2012.10.047

Cited by 19 publications

(11 citation statements)

References 31 publications

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“…As regards the second group, in recent years and partially favored by the availability of powerful modern computers, several authors have developed numerical models to study the SR [e.g., Morente et al, 2003;Simpson and Taflove, 2004;Yang and Pasko, 2005;Soriano et al, 2005;Pechony et al, 2007;Toledo-Redondo et al, 2013]. These low-frequency models are based either on finite differences in the time domain (FDTD) or on Transmission-Line Modeling (TLM) methods.…”

Section: Introductionmentioning

confidence: 99%

Full 3‐D TLM simulations of the Earth‐ionosphere cavity: Effect of conductivity on the Schumann resonances

et al. 2016

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Schumann resonances can be found in planetary atmospheres, inside the cavity formed by the conducting surface of the planet and the lower ionosphere. They are a powerful tool to investigate both the electric processes that occur in the atmosphere and the characteristics of the surface and the lower ionosphere. Results from a full 3‐D model of the Earth‐ionosphere electromagnetic cavity based on the Transmission‐Line Modeling (TLM) method are presented. A Cartesian scheme with homogeneous cell size of 10 km is used to minimize numerical dispersion present in spherical schemes. Time and frequency domain results have been obtained to study the resonance phenomenon. The effect of conductivity on the Schumann resonances in the cavity is investigated by means of numerical simulations, studying the transition from resonant to nonresonant response and setting the conductivity limit for the resonances to develop inside the cavity. It is found that the transition from resonant to nonresonant behavior occurs for conductivity values above roughly 10−9 S/m. For large losses in the cavity, the resonances are damped, but, in addition, the peak frequencies change according to the local distance to the source and with the particular electromagnetic field component. These spatial variations present steep variations around each mode's nodal position, covering distances around 1/4 of the mode wavelength, the higher modes being more sensitive to this effect than the lower ones. The dependence of the measured frequency on the distance to the source and particular component of the electric field offers information on the source generating these resonances.

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Section: Introductionmentioning

confidence: 99%

Full 3‐D TLM simulations of the Earth‐ionosphere cavity: Effect of conductivity on the Schumann resonances

et al. 2016

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“…Thus, numerical modeling has become an indispensable tool for a wide range of applications. Among these methods, Transmission Line Matrix (TLM) method is being increasingly used since seventies [11], and its application field continues to expand [19][20][21].…”

Section: Modeling Methodsmentioning

confidence: 99%

“…TLM is a spatiotemporal numerical technique, explicit and stable, based on electrical networks [19][20][21][22]. It is introduced by Professors Peter Johns and Raymond Beurle [23] at the electrical engineering department of Nottingham University (UK).…”

Section: Transmission Line Matrix Methodsmentioning

confidence: 99%

“…The injected pulse propagates along the line until it reaches a discontinuity (node) where it disperses [27]. Each reflected pulse moves back along the line and becomes incident on the adjacent node after a time step Δt(s), and so on [19,21] (Figure 1). At each iteration k (Equation (11)), the TLM routine calculates the incoming pulses to determine the evolution of the physical quantity at a given point, then the reflected pulses in preparation for the next iteration [26,28] TLM can be one-dimensional, two-dimensional, or three-dimensional [11,28].…”

Section: Transmission Line Matrix Methodsmentioning

confidence: 99%

“…If we neglect the influence of the inductance by taking a small enough time step, the combination of Equation (16) and Equation (19) gives:…”

Section: Conductance G(ω) Null) Of Length δX(m) That Is Electricallymentioning

confidence: 99%

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Pollutant Dispersion Modeling in Natural Streams Using the Transmission Line Matrix Method

Meddah

Saïdane

Hadjel

et al. 2015

Water

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Numerical modeling has become an indispensable tool for solving various physical problems. In this context, we present a model of pollutant dispersion in natural streams for the far field case where dispersion is considered longitudinal and one-dimensional in the flow direction. The Transmission Line Matrix (TLM), which has earned a reputation as powerful and efficient numerical method, is used. The presented one-dimensional TLM model requires a minimum input data and provides a significant gain in computing time. To validate our model, the results are compared with observations and experimental data from the river Severn (UK). The results show a good agreement with experimental data. The model can be used to predict the spatiotemporal evolution of a pollutant in natural streams for effective and rapid decision-making in a case of emergency, such as accidental discharges in a stream with a dynamic similar to that of the river Severn (UK).

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Propagation of Extremely Low‐Frequency Radio Waves

Nickolaneko¹,

Швец²,

Hayakawa

2016

Wiley Encyclopedia of Electrical and Electronics Engineering

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We address the subionospheric extremely low‐frequency ( ELF ) radio propagation with an emphasis put on the global and transverse electromagnetic resonance and on geophysical information deduced from resonance parameters. The expected spectra are demonstrated for the global electromagnetic (Schumann resonance, SR ) and the waveforms are given for the ELF transients or Q ‐bursts. Models of ELF propagation constant are presented together with efficient models of the lower ionosphere conductivity that provide realistic SR data in the direct field computations such as FDTD (finite‐difference time‐domain) method. Observational aspects are also addressed, including a brief description of the field sources, instrumentation, and typical signal processing with illustrations of actual data.

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Parallel 3D-TLM algorithm for simulation of the Earth-ionosphere cavity

Cited by 19 publications

References 31 publications

Full 3‐D TLM simulations of the Earth‐ionosphere cavity: Effect of conductivity on the Schumann resonances

Full 3‐D TLM simulations of the Earth‐ionosphere cavity: Effect of conductivity on the Schumann resonances

Pollutant Dispersion Modeling in Natural Streams Using the Transmission Line Matrix Method

Propagation of Extremely Low‐Frequency Radio Waves

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